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Finding the Third Proportional to 463,582,560 and 982,434,984

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Solution

The third proportional to 463,582,560 and 982,434,984 is: 2,081,999,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,582,560 : 982,434,984 = 982,434,984 : x
  2. Step 2: Convert to fraction form
    463,582,560/982,434,984 = 982,434,984/x
  3. Step 3: Cross multiply
    463,582,560x = 982,434,984 × 982,434,984
  4. Step 4: Simplify right side
    463,582,560x = 965,178,497,787,080,192
  5. Step 5: Solve for x
    x = 965,178,497,787,080,192/463,582,560
  6. Step 6: Final answer
    x = 2,081,999,154.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.